Lessons

1.

A ladder is leaning against an outside wall of a building. If the angle of elevation at the base of the ladder to the wall is 65∘ 65^\circ 65​∘​​ and the ladder is 14 feet long, how far up the wall does the ladder reach?

2.

A 23 foot long piece of wood is leaning against the wall of a house. If the angle of elevation at the base of the wood to the wall is 75∘ 75^\circ 75​∘​​, how far is the wood from the base of the wall?